The family-of-four set off an emergency locator device after getting bogged while driving in the Simpson Desert.
They have food and water and say they’re doing OK, but rescue crews will struggle to get to them due to heavy rain.
South Australia saw near record-breaking rainfall when a low pressure swept across the state from Wednesday.
Over the past two days the state has experienced heavy rain and cyclonic winds of up to 70km/h, which blacked out Adelaide’s CBD causing major peak hour delays.
For the first time in a year and a half, water flowed through the Alberga River in the far north of the state.
While the deep low pressure system has moved away from South Australia, taking with it the heavy rain, showers may continue over the Flinders Ranges, the Bureau of Meteorology (BoM) warns.
It has issued a flood watch warning for the mountain ranges saying the showers could bring up to 10 – 20 mm of rain.